Cyclic plastic behavior analysis based on the micromorphic mixed hardening plasticity model |
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| Authors: | ZH Zhang Z Zhuang Y Gao ZL Liu JF Nie |
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| Affiliation: | 1. Applied Mechanics Lab., School of Aerospace, Tsinghua University, Beijing 100084, China;2. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China;1. Jo?ef Stefan Institute, SI-1000, Ljubljana, Slovenia;2. Institut de Radioprotection et de Sûreté Nucléaire, B.P. 3, 13115, Saint-Paul-lez-Durance Cedex, France;3. Aix-Marseille Univ, CNRS, Centrale Marseille, LMA, 4 Impasse Nikola Tesla, CS 40006, 13453, Marseille Cedex 13, France;4. DEN-Service de Recherches Métallurgiques Appliquées, CEA, Université Paris-Saclay, F-91191, Gif-sur-Yvette, France;1. State Key Laboratory of Fluid Power & Mechatronic System, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China;2. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, 310014, China;3. Applied Mechanics Lab., School of Aerospace Engineering, Tsinghua University, Beijing, 100084, China;1. Applied Mechanics Lab., School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;2. LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;3. Software Center for High Performance Numerical Simulation, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | In this paper, a small strain micromorphic elasto-plastic model with isotropic/kinematic hardening is presented for modeling the size effect and Bauschinger effect in material with microstructure. A nonlinear kinematic hardening model is embedded into the micromorphic framework by employing a backstress, a micro-backstress and a micro-couple-backstress in a physical way. The material intrinsic length scale is introduced in the constitutive law, leading to the presence of higher order stress. The present model is further implemented into a 2D plane strain finite element frame with a fully implicit stress integration scheme. The generalized consistent tangent modulus is derived to achieve the parabolic convergence of the global nodal force equilibrium equation. Two numerical examples, including a thin film and a plate with underlying structures subjected to cyclic loading, are analyzed to verify the theoretical developments and numerical formulations. Plastic behaviors in micromorphic continuum, such as size effect, Bauschinger effect, ratcheting effect and plastic shakedown phenomenon, are investigated. |
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